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p-adic Ascoli theorems.

Javier Martínez-Maurica, S. Navarro (1990)

Revista Matemática de la Universidad Complutense de Madrid

The aim of this paper is the study of a certain class of compact-like sets within some spaces of continuous functions over non-Archimedean ground fields. As a result, some p-adic Ascoli theorems are obtained.

Paley-Wiener theorems for the Schrodinger operator on

Mohamed Néjib Lazhari (1998)

Commentationes Mathematicae Universitatis Carolinae

In this paper we define and study generalized Fourier transforms associated with some class of Schrodinger operators on . Next, we establish Paley-Wiener type theorems which characterize some functional spaces by their generalized Fourier transforms.

p-Analytic and p-quasi-analytic vectors

Jan Rusinek (1998)

Studia Mathematica

For every symmetric operator acting in a Hilbert space, we introduce the families of p-analytic and p-quasi-analytic vectors (p>0), indexed by positive numbers. We prove various properties of these families. We make use of these families to show that certain results guaranteeing essential selfadjointness of an operator with sufficiently large sets of quasi-analytic and Stieltjes vectors are optimal.

Paracommutators. Brief introduction, open problems.

Jaak Peetre (1989)

Revista Matemática de la Universidad Complutense de Madrid

We review the basic facts about the theory of paracommutators in Rn (sec S. Janson, J. Peetre, Trans. Am. Math. Soc. 305 (1988), 467504). We also give an interpretation of paracommutators from the point of view of group representations. This suggests a generalization to more general groups. Here we sketch a theory of paracommutators over stratified groups. This include the famous Heisenberg group. Finally, we take up the question of generalizing the notion of Schatten-von Neumann trace ideals to...

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